What is the Greatest Common Factor of 35916 and 35934?

Greatest common factor (GCF) of 35916 and 35934 is 6.

GCF(35916,35934) = 6

We will now calculate the prime factors of 35916 and 35934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35916 and 35934.

How to find the GCF of 35916 and 35934?

We will first find the prime factorization of 35916 and 35934. After we will calculate the factors of 35916 and 35934 and find the biggest common factor number .

Step-1: Prime Factorization of 35916

Prime factors of 35916 are 2, 3, 41, 73. Prime factorization of 35916 in exponential form is:

35916 = 2² × 3¹ × 41¹ × 73¹

Step-2: Prime Factorization of 35934

Prime factors of 35934 are 2, 3, 53, 113. Prime factorization of 35934 in exponential form is:

35934 = 2¹ × 3¹ × 53¹ × 113¹

Step-3: Factors of 35916

List of positive integer factors of 35916 that divides 35916 without a remainder.

1, 2, 3, 4, 6, 12, 41, 73, 82, 123, 146, 164, 219, 246, 292, 438, 492, 876, 2993, 5986, 8979, 11972, 17958

Step-4: Factors of 35934

List of positive integer factors of 35934 that divides 35916 without a remainder.

1, 2, 3, 6, 53, 106, 113, 159, 226, 318, 339, 678, 5989, 11978, 17967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35916 and 35934. The biggest common factor number is the GCF number.
So the greatest common factor 35916 and 35934 is 6.

Also check out the Least Common Multiple of 35916 and 35934